Chemical potential of a solute at infinite dilution in a hard disc fluid by Monte Carlo simulation

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Abstract
Methods are described for finding the chemical potential of a hard disc solute of any radius at infinite dilution in a hard disc fluid or solid. A new method is also described for finding the pair distribution function near contact from the same data that are used to calculate the chemical potential for small solute discs. The methods have been applied to a system of 1024 hard discs at densities in the dense fluid and solid region. The results for the equation of state are compared with other simulation results and a Padé approximant to the virial series. The chemical potential results are compared with scaled particle theories and with the integrated equation of state.